Pith Number

pith:ESS5AKVW

pith:2025:ESS5AKVWC7AE7DLSGY37IRJII5

not attested not anchored not stored refs pending

Modern aspects of Markov chains: entropy, curvature and the cutoff phenomenon

Justin Salez

arxiv:2508.21055 v1 · 2025-08-28 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESS5AKVWC7AE7DLSGY37IRJII5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Analysis of the asymmetric shelf shuffle

Log-Sobolev under random monotone censoring

Long-time $L^p$ Wasserstein contraction for diffusion processes without global dissipativity

Receipt and verification

First computed	2026-07-05T12:01:15.876493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24a5d02ab617c04f8d723637f44528477b4dd5f6046f1c2ed1a1ba4235e52e4f

Aliases

arxiv: 2508.21055 · arxiv_version: 2508.21055v1 · doi: 10.48550/arxiv.2508.21055 · pith_short_12: ESS5AKVWC7AE · pith_short_16: ESS5AKVWC7AE7DLS · pith_short_8: ESS5AKVW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ESS5AKVWC7AE7DLSGY37IRJII5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 24a5d02ab617c04f8d723637f44528477b4dd5f6046f1c2ed1a1ba4235e52e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c18421b6608be674a74a39c6105f95c6c9b95c1b8a3f73bbfb48d2fe8a598429",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-28T17:56:09Z",
    "title_canon_sha256": "63b4d4051599d21bf04a0d54548a99edf9d71823969abca68e6de373974f99ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21055",
    "kind": "arxiv",
    "version": 1
  }
}